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標題: Global stability for a virus dynamics model with nonlinear incidence of infection and removal
作者: Georgescu, P.
Hsieh, Y.H.
關鍵字: virus propagation;compartmental model;global stability;Lyapunov;functional;endemic equilibrium;basic reproduction number;seir model;in-vivo;systems
Project: Siam Journal on Applied Mathematics
期刊/報告no:: Siam Journal on Applied Mathematics, Volume 67, Issue 2, Page(s) 337-353.
Global dynamics of a compartmental model which describes virus propagation in vivo is studied using the direct Lyapunov method, where the incidence rate of the infection and the removal rate of the virus are assumed to be nonlinear. In the case where the functional quotient between the force of infection and the removal rate of the virus is a nonincreasing function of the virus concentration, the existence of a threshold parameter, i.e., the basic reproduction number or basic reproductive ratio, is established and the global stability of the equilibria is discussed. Moreover, in the absence of the above-mentioned monotonicity property, estimations for the sizes of the domains of attraction are given. Biological significance of the results and possible extensions of the model are also discussed.
ISSN: 0036-1399
DOI: 10.1137/060654876
Appears in Collections:期刊論文

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